C. Papenfuss and W. Muschik
Balance Equations for Liquid Crystals in Two Dimensions
Mol. Mat.2, 1992, 1-6

As a first step in a continuum theory for two dimensional liquid crystals the balance equations on an arbitrarily curved surface are derived. Possible applications for a phenomenological theory in two dimensions are free standing films, phase boundaries or the boundary layer near the wall in a liquid crystal device.